1 |
Adams, G. (1995), "Critical speeds and the response of a tensioned beam on an elastic foundation to repetitive moving loads", Int. J. Mech. Sci., 37(7), 773-781.
DOI
|
2 |
Adhikari, S., Murmu, T. and McCarthy, M.A. (2013), "Dynamic finite element analysis of axially vibrating nonlocal rods", Finite Elem. Anal. Des., 63, 42-50.
DOI
|
3 |
Aydogdu, M. (2009), "A general nonlocal beam theory: Its application to nanobeam bending, buckling and vibration", Physica E: Low-Dim. Syst. Nanostruct., 41(9), 1651-1655.
DOI
|
4 |
Kural, S, and Ozkaya, E. (2015), "Size-dependent vibrations of a micro beam conveying fluid and resting on an elastic foundation", J. Vib. Control., doi: 10.1177/1077546315589666.
DOI
|
5 |
Li, C., Lim, C.W., Yu, J. and Zeng, Q. (2011), "Transverse vibration of pre-tensioned nonlocal nanobeams with precise internal axial loads", Sci. China Tech. Sci., 54(8), 2007-2013.
DOI
|
6 |
Lim, C.W., Li, C. and Yu, J. (2009a), "Free vibration of pre-tensioned nanobeams based on nonlocal stress theory", J. Zhejiang Univ. Sci. A, 11(1), 34-42.
DOI
|
7 |
Lim, C.W., Li, C. and Yu, J.L. (2009b), "The effects of stiffness strengthening nonlocal stress and axial tension on free vibration of cantilever nanobeams", Int. Multis. Mech., 2(3), 223-233.
DOI
|
8 |
Lim, C.W., Li, C. and Yu, J.L. (2010), "Dynamic behaviour of axially moving nanobeams based on nonlocal elasticity approach", Acta Mechanica Sinica, 26(5), 755-765.
DOI
|
9 |
Lu, P. (2007), "Dynamic analysis of axially prestressed micro nanobeam structures based on nonlocal beam theory", J. Appl. Phys., 101(7), 073504.
DOI
|
10 |
Lu, P., Lee, H.P., Lu, C. and Zhang, P.Q. (2007), "Application of nonlocal beam models for carbon nanotubes", Int. J. Solid. Struct., 44(16), 5289-5300.
DOI
|
11 |
Main, J.A. and Jones, N.P. (2007a), "Vibration of tensioned beams with intermediate damper. I: formulation, influence of damper location", J. Eng. Mech., 133(4), 369-378.
DOI
|
12 |
Main, J.A. and Jones, N.P. (2007b), "Vibration of tensioned beams with intermediate damper. I: formulation, influence of damper location", J. Eng. Mech., 133(4), 379-388.
DOI
|
13 |
Thai, H.T. (2012), "A nonlocal beam theory for bending, buckling, and vibration of nanobeams", Int. J. Eng. Sci., 52, 56-64.
DOI
|
14 |
Reddy, J.N. (2007), "Nonlocal theories for bending, buckling and vibration of beams", Int. J. Eng. Sci., 45(2-8), 288-307.
DOI
|
15 |
Sears, A. and Batra, R. (2006), "Buckling of multiwalled carbon nanotubes under axial compression", Phys. Rev. B, 73(8), 085410.
DOI
|
16 |
Sudak, L.J. (2003), "Column buckling of multiwalled carbon nanotubes using nonlocal continuum mechanics", J. Appl. Phys., 94, 7281.
DOI
|
17 |
Yurddas, A., Ozkaya, E. and Boyaci, H. (2013), "Nonlinear vibrations of axially moving multi-supported strings having non-ideal support conditions", Nonlin. Dyn., 73, 1223-44.
DOI
|
18 |
Yurddas, A., Ozkaya, E. and Boyaci, H. (2014), "Nonlinear vibrations and stability analysis of axially moving strings having non-Ideal mid-support conditions", J. Vib. Control, 20(4), 518-534.
DOI
|
19 |
Wang, Q. and Liew, K.M. (2007), "Application of nonlocal continuum mechanics to static analysis of micro- and nano-structures", Phys. Lett. A, 363(3), 236-242.
DOI
|
20 |
Wang, Y.Z. and Li, F.M. (2014). "Nonlinear primary resonance of nano beam with axial initial load by nonlocal continuum theory", Int. J. Nonlin. Mech., 61, 74-79.
DOI
|
21 |
Bagdatli, S.M., Oz, H.R. and Ozkaya, E. (2011), "Dynamics of axially accelerating beams with an intermediate support", J. Vib. Acoust., 133(3), 031013.
DOI
|
22 |
Bagdatli, S.M. (2015), "Non-linear vibration of nanobeams with various boundary condition based on nonlocal elasticity theory", Compos. Part B: Eng., 80, 43-52.
DOI
|
23 |
Bagdatli, S.M. and Uslu, B. (2015), "Free vibration analysis of axially moving beam under non-ideal conditions", Struct. Eng. Mech., 54(3), 597.
DOI
|
24 |
Bagdatli, S.M., Oz, H.R. and Ozkaya, E. (2011), "Non-linear transverse vibrations and 3:1 internal resonances of a tensioned beam on multiple supports", Math. Comput. Appl., 16(1), 203-215.
|
25 |
Eltaher, M.A., Abdelrahman, A.A., Al-Nabawy, A., Khater, M. and Mansour, A. (2014), "Vibration of nonlinear graduation of nano-Timoshenko beam considering the neutral axis position", Appl. Math. Comput., 235, 512-529.
DOI
|
26 |
Eringen, A.C. (1983), "On differential-equations of nonlocal elasticity and solutions of screw dislocation and surface-waves", J. Appl. Phys., 54(9), 4703-10.
DOI
|
27 |
Eringen, A.C. (2002), Nonlocal Continuum Field Theories, Springer-Verlag, Newyork.
|
28 |
Guo, Y. and Guo, W. (2003). "Mechanical and electrostatic properties of carbon nanotubes under tensile loading and electric field", J. Appl. Phys., 36(7), 805-811.
|
29 |
Kiani, K. (2013), "Longitudinal, transverse, and torsional vibrations and stabilities of axially moving singlewalled carbon nanotubes", Curr. Appl. Phys., 13(8), 1651-1660.
DOI
|
30 |
Kural S, and Ozkaya E, (2012), "Vibrations of an axially accelerating, multiple supported flexible beam", Struct. Eng. Mech., 44(4), 521-538.
DOI
ScienceOn
|
31 |
Nayfeh, A.H. (1981), Introduction to Perturbation Techniques, John Wiley, New York, USA.
|
32 |
Main, J.A. and Jones, N.P. (2007c), "Vibration of tensioned beams with intermediate damper. II: damper near a support", J. Eng. Mech., 133(4), 379-388.
DOI
|
33 |
Murmu, T. and Adhikari, S. (2012), "Nonlocal elasticity based vibration of initially pre-stressed coupled nanobeam systems", Eur. J. Mech. A/Solid., 34, 52-62.
DOI
|
34 |
Mustapha, K.B. and Zhong, Z.W. (2010). "Free transverse vibration of an axially loaded non-prismatic single-walled carbon nanotube embedded in a two-parameter elastic medium", Comput. Mater. Sci., 50(2), 742-751.
DOI
|
35 |
Nayfeh, A.H. and Mook, D.T. (1979), Nonlinear Oscillations, John Wiley, New York, USA.
|
36 |
Ni, Q., Li, M., Tang, M. and Wang, L. (2014), "Free vibration and stability of a cantilever beam attached to an axially moving base immersed in fluid", J. Sound Vib., 333(9), 2543-2555.
DOI
|
37 |
Oz, H.R. (2002), "Natural Frequencies of Fluid Conveying Tensioned Pipes and Carrying a Stationary Mass under Different End Conditions", J. Sound Vib., 253(2), 507-517.
DOI
|
38 |
OZ, H.R. (2003), "Natural frequencies of axially travelling tensioned beams in contact with a stationary mass", J. Sound Vib., 259(2), 445-456.
DOI
|
39 |
Oz, H.R. and Boyaci, H. (2000), "Transverse vibrations of tensioned pipes conveying fluid with timedependent velocity", J. Sound Vib., 236(2), 259-276.
DOI
|
40 |
Peddieson, J., Buchanan, G.R. and McNitt, R.P. (2003), "Application of nonlocal continuum models to nanotechnology", Int. J. Eng. Sci., 41(3-5), 305-312.
DOI
|